"The NFL has been engaged in constructive discussions with the NFL Players Association regarding the anthem and issues of equality and social justice that are of concern to many Americans", the statement read.
Some players held their fists in the air, while others chose to kneel, despite the controversy surrounding the action.
It is officially year three of the protests, which Colin Kaepernick started in the 2016 preseason as a means to bring attention to extrajudicial violence by police against black people.
It reiterated that players who do not wish to stand during the anthem should stay in the changing room.
The actions to protest social injustices were the first of the preseason in the NFL.
"My brother kstills continued his protest of systemic oppression tonight by taking a knee", the tweet said.
The only teammate to do the same was cornerback De'Vante Bausby. Several other players joined the protest.
In Florida, Jalen Ramsey, Telvin Smith, Leonard Fournette and T.J. Yeldon of the Jacksonville Jaguars did not show up on the field before their game against the New Orleans Saints until after the anthem was over, according to Florida-Times Union reporter Phillip Heilman.
Jenkins met with Reverend Jesse Jackson when Jackson visited the team this week.
Franchise owners agreed on a policy earlier this year that requires players to stand for the Star-Spangled Banner if they are on the field.
The league noted that while players won't be disciplined, it expects all players on the field to stand during the presentation of the flag and the anthem.
The NFL has said it won't punish the players who took part in the protests on Thursday, reiterating the league's decision to shelve its new policy regarding conduct surrounding the anthem until it reaches an agreement with the NFL Players Association.
"We remain committed to working with the players to identify solutions and to continue making progress on important social issue affecting our communities".